λ
Harmonic Matrix

693,672

23 × 3 × 7 × 4129
Abundant Even Composite

693,672 has digital root 6. The neighboring primes are 693661 and 693677; its proper-divisor sum differs from the starting integer by 595,056.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 4129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,982,400
Proper Divisor Sum 1,288,728
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #693661 ← → #693677

Radix Representation

Decimal 693672
Binary 10101001010110101000 (20 bits)
Octal 0o2512650
Hexadecimal 0xA95A8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (48 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

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